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The wave functions of a quantum particle of mass ... confined to a disk of radius ... in the ... - ... plane are derived. These functions ... in polar coordinates are two-dimensional solutions of the Schrödinger equation with the potential ... . There is an infinite number of functions ... that fulfill the boundary condition ... , depend on two independent integer quantum numbers ... and ... . This Demonstration shows the oscillating behavior of the (unnormalized) probability density ... of a particle with different energy states inside the disk in the interval ... , ... . The ground state is characterized by the quantum number ... ; excited states have ... .

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      EUN,LOM,LRE4,work-cmr-id:262614,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/2DQuantumProblemParticleInADisk/,ilox,learning resource exchange,LRE metadata application profile,LRE

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